Details

Time bar (total: 4.0s)

sample47.0ms

Algorithm
intervals
Results
31.0ms619×body80valid

simplify70.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05114
115514
243014
3119514
4252614
5500114

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
0.1b
(* (* a a) (- 1.0 a))
0.3b
(pow (+ (* a a) (* b b)) 2.0)
0.8b
(* (* b b) (+ 3.0 a))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
15×pow1 add-exp-log
14×add-cbrt-cube
12×add-sqr-sqrt *-un-lft-identity
9×associate-*r*
8×add-cube-cbrt
6×pow-prod-down prod-exp cbrt-unprod add-log-exp
4×distribute-rgt-in distribute-lft-in associate-*r/
3×unpow-prod-down pow-unpow
2×sub-neg associate-+r+ flip3-+ associate-*l* *-commutative flip-+ unswap-sqr
1×+-commutative pow-to-exp flip3-- pow-pow pow-exp sum-log flip-- distribute-lft-out distribute-lft-out-- difference-of-squares sqr-pow
Counts
4 → 81
Calls
4 calls:
7.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
11.0ms
(* (* a a) (- 1.0 a))
5.0ms
(pow (+ (* a a) (* b b)) 2.0)
8.0ms
(* (* b b) (+ 3.0 a))

series299.0ms

Counts
4 → 12
Calls
4 calls:
109.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
54.0ms
(* (* a a) (- 1.0 a))
104.0ms
(pow (+ (* a a) (* b b)) 2.0)
31.0ms
(* (* b b) (+ 3.0 a))

simplify68.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0506651
12520583
25001583

prune250.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* b (* b (+ 3.0 a))))))
0.1b
(* (* a a) (- 1.0 a))
0.2b
(* b (* b (+ 3.0 a)))
0.3b
(pow (+ (* a a) (* b b)) 2.0)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
15×pow1 add-exp-log
14×add-cbrt-cube
11×add-sqr-sqrt
10×*-un-lft-identity
8×add-cube-cbrt
7×distribute-rgt-in distribute-lft-in
6×associate-*r/ associate-*r* pow-prod-down prod-exp cbrt-unprod add-log-exp
4×associate-*l*
3×unpow-prod-down pow-unpow
2×sub-neg associate-+r+ flip3-+ *-commutative flip-+
1×+-commutative pow-to-exp flip3-- pow-pow pow-exp sum-log flip-- distribute-lft-out-- difference-of-squares unswap-sqr sqr-pow
Counts
4 → 81
Calls
4 calls:
7.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* b (* b (+ 3.0 a))))))
8.0ms
(* (* a a) (- 1.0 a))
7.0ms
(* b (* b (+ 3.0 a)))
4.0ms
(pow (+ (* a a) (* b b)) 2.0)

series294.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* b (* b (+ 3.0 a))))))
52.0ms
(* (* a a) (- 1.0 a))
32.0ms
(* b (* b (+ 3.0 a)))
105.0ms
(pow (+ (* a a) (* b b)) 2.0)

simplify62.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0497650
12357582
25003582

prune251.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(cbrt (- 1.0 a))
0.1b
(cbrt (- 1.0 a))
0.2b
(* b (* b (+ 3.0 a)))
0.3b
(pow (+ (* a a) (* b b)) 2.0)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt *-un-lft-identity
10×pow1 add-exp-log cbrt-prod
9×add-cube-cbrt add-cbrt-cube
4×distribute-rgt-in cbrt-div distribute-lft-in associate-*r/ add-log-exp
3×unpow-prod-down pow-unpow associate-*l* pow-prod-down prod-exp cbrt-unprod
2×flip3-- pow1/3 flip-- distribute-lft-out-- difference-of-squares
1×pow-to-exp pow-pow flip3-+ associate-*r* pow-exp *-commutative flip-+ sqr-pow
Counts
4 → 71
Calls
4 calls:
3.0ms
(cbrt (- 1.0 a))
3.0ms
(cbrt (- 1.0 a))
7.0ms
(* b (* b (+ 3.0 a)))
4.0ms
(pow (+ (* a a) (* b b)) 2.0)

series310.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(cbrt (- 1.0 a))
88.0ms
(cbrt (- 1.0 a))
35.0ms
(* b (* b (+ 3.0 a)))
100.0ms
(pow (+ (* a a) (* b b)) 2.0)

simplify42.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0404501
11485463
25001457

prune313.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
0.0b
(* 2 (* (pow a 2) (pow b 2)))
2.5b
(* (pow a 2) (pow b 2))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
38×add-exp-log
28×prod-exp
24×add-sqr-sqrt
16×unswap-sqr
14×unpow-prod-down
12×pow-to-exp pow-exp
11×associate-*l*
10×*-un-lft-identity add-cbrt-cube unpow2 sqr-pow
9×associate-*r*
8×add-cube-cbrt add-log-exp
5×pow1
4×cbrt-unprod
3×sum-log
2×pow-prod-down *-commutative
1×+-commutative associate-+r+ flip3-+ flip-+ distribute-lft-out
Counts
3 → 90
Calls
3 calls:
8.0ms
(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
7.0ms
(* 2 (* (pow a 2) (pow b 2)))
7.0ms
(* (pow a 2) (pow b 2))

series121.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
35.0ms
(* 2 (* (pow a 2) (pow b 2)))
34.0ms
(* (pow a 2) (pow b 2))

simplify49.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0330587
11424506
25001495

prune195.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes50.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03121
13121

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.0s20568×body80valid